{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.8870741528299326\n",
      "0.9231432442419018\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "\n",
    "matplotlib.rcParams['svg.fonttype'] = 'none'\n",
    "\n",
    "# 节点个数： 20-210          默认：60      迭代：20 + cnt * 10\n",
    "# 源目对数： 10-200          默认：50      迭代：10 + cnt * 10\n",
    "# 阿尔法值： 0.35-1.3        默认：0.2     迭代：0.2 + cnt * 0.05\n",
    "# 初始光源： 5-43            默认：5       迭代：5 + cnt * 2\n",
    "\n",
    "data = [[35.833333333333336, 44.479166666666664, 12.145833333333334, 7.958333333333333],[34.833333333333336, 43.708333333333336, 10.979166666666666, 7.416666666666667],[33.854166666666664, 42.916666666666664, 10.9375, 7.208333333333333],[33.479166666666664, 42.583333333333336, 10.125, 7.145833333333333],[32.375, 41.583333333333336, 9.708333333333334, 6.583333333333333],[31.5, 40.6875, 8.520833333333334, 5.708333333333333],[30.083333333333332, 39.75, 8.520833333333334, 5.875],[30.1875, 38.979166666666664, 8.020833333333334, 5.604166666666667],[29.208333333333332, 37.895833333333336, 7.166666666666667, 4.791666666666667],[28.125, 37.395833333333336, 6.291666666666667, 4.708333333333333],[26.895833333333332, 36.416666666666664, 5.833333333333333, 4.354166666666667],[26.333333333333332, 35.0625, 5.125, 3.7291666666666665],[25.666666666666668, 35.0625, 4.520833333333333, 3.4583333333333335],[25.229166666666668, 33.479166666666664, 4.104166666666667, 3.2291666666666665],[24.145833333333332, 32.9375, 4.020833333333333, 3.1875],[23.354166666666668, 33.020833333333336, 3.7291666666666665, 3.0],[22.791666666666668, 31.9375, 3.7708333333333335, 3.0625],[21.708333333333332, 30.75, 3.021276595744681, 2.5106382978723403],[21.416666666666668, 30.1875, 2.8260869565217392, 2.3260869565217392],[20.020833333333332, 29.416666666666668, 2.260869565217391, 2.0217391304347827]]\n",
    "\n",
    "print((20.020833333333332 - 2.260869565217391) / 20.020833333333332)\n",
    "print((29.416666666666668 - 2.260869565217391) / 29.416666666666668)\n",
    "\n",
    "\n",
    "data = list(map(list, zip(*data)))\n",
    "\n",
    "x_arr = list(range(5, len(data[0]) * 2 + 5, 2))\n",
    "\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(x_arr, data[0], label='RAS', marker='p')\n",
    "plt.plot(x_arr, data[1], label='SPS', marker='o')\n",
    "plt.plot(x_arr, data[2], label='RPSP-APSP', marker='s')\n",
    "plt.plot(x_arr, data[3], label='RPSP-ILP', marker='^')\n",
    "\n",
    "plt.xlabel(['Number of Nodes','Number of QKD Request','Network Connectivity','Number of PS nodes at the beginning'][3])\n",
    "plt.ylabel('Number of PSes to be added')\n",
    "plt.legend()\n",
    "plt.grid(True)\n",
    "plt.savefig(f\"var_init_ps.svg\", format=\"svg\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.20413773148148134\n",
      "0.16272424768518504\n",
      "0.05005787037037024\n"
     ]
    }
   ],
   "source": [
    "print((26.009375 - 21.6) / 21.6)\n",
    "print((25.11484375 - 21.6) / 21.6)\n",
    "print((22.68125 - 21.6) / 21.6)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "xs",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
